Sign change of competing contributions to the side jump by impurity, phonon, and magnon scattering

Abstract

The side jump is one important mechanism of anomalous Hall effect, which is generally believed that it does not depend on the scattering strength and disorder density. Recent theoretical calculations indicate that different types of disordered scattering contribute to side jump. The competition between them will make the magnitude of side jump sensitive to their relative disorder strength. However, the evolution of competing scattering contribution in side jump has not been experimentally observed. In this paper, a series of high-qulity FeCo films with different thickness have been grown on MgO(001) substrate. Based on multivariable scaling, the sign change of the competing contribution between different scatterings to side jump is clearly observed as increasing sample thickness. Meanwhile, we demonstrate that the contribution of magnon side jump may play an irreplaceable role in the competition. Our work provides evidence for the shift of dominated scattering in competition, and shows that competing scattering still exists and is not negligible even in conductivity region with ${\ensuremath{\sigma}}_{xx}\ensuremath{\sim}{10}^{4}\phantom{\rule{0.16em}{0ex}}{\mathrm{\ensuremath{\Omega}}}^{\ensuremath{-}1}\phantom{\rule{0.16em}{0ex}}\mathrm{c}{\mathrm{m}}^{\ensuremath{-}1}$, which is beneficial to further experimental and theoretical studies of side jump.